Question

You start driving north for 48 miles, turn right, and drive east for another 64 miles. How many miles must you travel to return directly back to your starting point?

Answer 1

I have to travel 80 miles to return directly back to starting points

Explanation:

Given as :

The distance travel by me as directed :

let the starting point = X

The end point = Y

I travel to north from point X , the distance cover = 48 miles ,

Now I turn to right , and travel to east and stop at Y , the distance cover = 64 miles

Let the distance travel from end point Y to starting point X = Z mile

So, From displacement method

Z² = X² + Y²

Or, Z =
`\sqrt{X^(2)+ Y^(2)}`

Or, Z =
`\sqrt{48^(2)+ 64^(2)}`

Or, Z =
`√(6400)`

Or, Z = 80 miles

Hence, I have to travel 80 miles to return directly back to starting points Answer